By Chris Dieterich 

U.S. stocks swung higher on Tuesday, rebounding after three straight days of deep declines.

The Dow Jones Industrial Average rose 89 points, or 0.5%, to 16409 in afternoon trading. The S&P 500 added 16 points, or 0.8%, to 1891, while the Nasdaq Composite Index rose 43 points, or 1%, to 4257.

Sectors that have been hardest hit recently rose the most on Tuesday, though volumes were lighter than in recent days. The Russell 2000 Index of small U.S. companies jumped 1.9% in a sharp bounce after a string of large declines. Energy stocks on the S&P 500, recently battered by tumbling prices for crude oil, jumped 0.7%.

Shares of travel and airline stocks also rebounded after taking a hit on concerns about the spread of the Ebola virus. United Continental Holdings Inc. and Delta Air Lines Inc. rallied Tuesday after sinking 7.3% and 6.1% on Monday, respectively.

Stocks rose even as investors piled into government bonds. Yields on benchmark 10-year Treasury notes fell to 2.232%, from 2.305% late on Friday. Bond yields fall when prices rise. U.S. bond markets were closed on Monday for Columbus Day.

Uncertainty about the pace of global economic growth and changes to the Federal Reserve's easy-money policies have combined to force stocks suddenly and sharply lower in recent weeks. The Dow industrials slumped 223 points on Monday for their ninth decline over the past 11 trading days.

Many investors are telling clients not to back out of the market given that the U.S. economy continues to improve. Sam Wardwell, investment strategist at Pioneer Investments, which oversees about $250 billion, said that he is telling clients not to panic in the face of recent declines.

"Clearly there's volatility," Mr. Wardwell said. "This 100-up, 100-down trading tells you that there are a lot of nervous people out there."

"Our message has been that this is normal, markets can be volatile and there is no reason to panic and change your investment strategy," he said.

Andrew Slimmon, managing director of Morgan Stanley Wealth Management's Global Investment Solutions, which manages about $4.1 billion, said that his firm's financial advisers have been "getting calls from clients that are nervous" in recent weeks, but that he has increasingly viewed the U.S. as a better place to invest in stocks than Europe or Japan over the course of this year. That remains the case now, he said.

"It makes sense to ride this out," Mr. Slimmon said. "The safest place to be is in the U.S. The economy is much stronger here than in Europe."

Traders noted that major benchmarks closed near the day's lows in each of the past three sessions, including a late-day swoon on Monday, an indication that few buyers were ready to step in with conviction to buy the falling market.

"We're seeing a little of a bounce, though I'd caution that it's early," said Ryan Larson, head of U.S. equity trading at RBC Global Asset Management. "The market has tended to show its true hand in the last hour."

"Action we've seen in the [last] couple of weeks hasn't been as much about fundamentals as it has been about sentiment," Mr. Larson said.

The S&P 500 finished Monday down 6.8% since closing at an all-time high on Sept. 18, its steepest pullback since late 2012, when investors wrestled with the implications of the so-called fiscal cliff and political stalemate in Washington, D.C.

Most European equity markets reversed course to end higher after Germany's closely watched ZEW survey showed a sharp drop in economic sentiment. The Stoxx Europe 600 ended marginally lower, paring losses of as much as 1.4% earlier. Germany's DAX rose 0.15%. German government bonds surged to their strongest level on record.

J.P. Morgan Chase swung to a third-quarter profit, but narrowly missed analyst estimates, as legal expenses overshadowed gains in fixed-income trading revenue. J.P. Morgan benefited from stronger investment banking fees, but saw a slump in debt capital markets. Shares rose 0.4%.

Citigroup said its quarterly profit rose 6.6% from a year earlier, topping analyst estimates, helped by stronger-than-expected trading revenues. The firm set plans to further retreat from some foreign retail-banking markets. Shares rose 3.1%.

Wells Fargo's quarterly profit met Wall Street's profit expectations, though results showed a continued slowdown in the bank's mortgage business. Shares declined 1.4%.

Johnson & Johnson declined 0.8% even after the health-care products company said its quarterly earnings rose 59% on higher pharmaceutical sales. The company's report is considered a bellwether since the maker of Band-Aids and Listerine mouthwash is involved in so many business lines.

Oil prices continued to spiral lower. U.S. crude futures declined 2.5% to $83.64. Increased production in the U.S. has helped contribute to a glut of global oil supply at a time when demand for petroleum products, notably in Europe, is ebbing.

In Asia, Japan's Nikkei fell 2.4%, while Hong Kong's Hang Seng index declined 0.4%. The dollar rose against the euro and yen. Gold futures added 0.3% to $1,233.50 an ounce.

Write to Chris Dieterich at chris.dieterich@wsj.com

Delta Air Lines (NYSE:DAL)
Historical Stock Chart
From Mar 2024 to Apr 2024 Click Here for more Delta Air Lines Charts.
Delta Air Lines (NYSE:DAL)
Historical Stock Chart
From Apr 2023 to Apr 2024 Click Here for more Delta Air Lines Charts.